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Finding the Third Proportional to 107,007 and 230,856

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Solution

The third proportional to 107,007 and 230,856 is: 498,046.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,007 : 230,856 = 230,856 : x
  2. Step 2: Convert to fraction form
    107,007/230,856 = 230,856/x
  3. Step 3: Cross multiply
    107,007x = 230,856 × 230,856
  4. Step 4: Simplify right side
    107,007x = 53,294,492,736
  5. Step 5: Solve for x
    x = 53,294,492,736/107,007
  6. Step 6: Final answer
    x = 498,046.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.